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If a^(2) + b^(2) + c^(2) = -2 and f(x) =...

If `a^(2) + b^(2) + c^(2) = -2 and f(x) = |(1 + a^(2)x,(1 + b^(2))x,(1 + c^(2)) x),((1 + a^(2))x,1 + b^(2)x,(1 + c^(2))x),((1 + a^(2)) x,(1 + b^(2))x,1 + c^(2)x)|`, then f(x) is a polynomial of degree

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